%I #6 Oct 21 2023 15:10:33
%S 1,3,7,12,14,17,22,27,28,31,37,42,42,45,52,57,56,59,67,72,70,73,82,87,
%T 84,87,97,102,98,101,112,117,112,115,127,132,126,129,142,147,140,143,
%U 157,162,154,157,172,177,168,171
%N Coordination sequence Gal.3.2.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.
%C Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.
%H Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>
%F Conjectures from _Chai Wah Wu_, Sep 24 2020: (Start)
%F a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4) - a(n-5) + a(n-6) - a(n-7) for n > 7.
%F G.f.: (x^7 + 2*x^6 + 6*x^5 + 5*x^4 + 7*x^3 + 5*x^2 + 2*x + 1)/((x - 1)^2*(x + 1)*(x^2 + 1)^2). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018